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Finding the Fourth Proportional to 873,252,894.80, 1,308,997,543.80 and 435,880,888.40

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Solution

The fourth proportional to 873,252,894.80, 1,308,997,543.80 and 435,880,888.40 is: 653,381,186.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,252,894.80 : 1,308,997,543.80 = 435,880,888.40 : x
  2. Step 2: Convert to fraction form
    873,252,894.80/1,308,997,543.80 = 435,880,888.40/x
  3. Step 3: Cross multiply
    873,252,894.80x = 1,308,997,543.80 × 435,880,888.40
  4. Step 4: Simplify right side
    873,252,894.80x = 570,567,012,304,961,856
  5. Step 5: Solve for x
    x = 570,567,012,304,961,856/873,252,894.80
  6. Step 6: Final answer
    x = 653,381,186.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.