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Finding the Fourth Proportional to 666,918,941.69, 920,766,476.93 and 429,177,184.77

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Solution

The fourth proportional to 666,918,941.69, 920,766,476.93 and 429,177,184.77 is: 592,533,724.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,918,941.69 : 920,766,476.93 = 429,177,184.77 : x
  2. Step 2: Convert to fraction form
    666,918,941.69/920,766,476.93 = 429,177,184.77/x
  3. Step 3: Cross multiply
    666,918,941.69x = 920,766,476.93 × 429,177,184.77
  4. Step 4: Simplify right side
    666,918,941.69x = 395,171,964,400,481,472
  5. Step 5: Solve for x
    x = 395,171,964,400,481,472/666,918,941.69
  6. Step 6: Final answer
    x = 592,533,724.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.