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Finding the Fourth Proportional to 788,168, 1,087,671.84 and 430,472

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Solution

The fourth proportional to 788,168, 1,087,671.84 and 430,472 is: 594,051.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,168 : 1,087,671.84 = 430,472 : x
  2. Step 2: Convert to fraction form
    788,168/1,087,671.84 = 430,472/x
  3. Step 3: Cross multiply
    788,168x = 1,087,671.84 × 430,472
  4. Step 4: Simplify right side
    788,168x = 468,212,272,308.48
  5. Step 5: Solve for x
    x = 468,212,272,308.48/788,168
  6. Step 6: Final answer
    x = 594,051.36

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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.