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Finding the Fourth Proportional to 710,153.14, 979,996.16 and 387,864.50

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Solution

The fourth proportional to 710,153.14, 979,996.16 and 387,864.50 is: 535,244.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,153.14 : 979,996.16 = 387,864.50 : x
  2. Step 2: Convert to fraction form
    710,153.14/979,996.16 = 387,864.50/x
  3. Step 3: Cross multiply
    710,153.14x = 979,996.16 × 387,864.50
  4. Step 4: Simplify right side
    710,153.14x = 380,105,720,600.32
  5. Step 5: Solve for x
    x = 380,105,720,600.32/710,153.14
  6. Step 6: Final answer
    x = 535,244.72

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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.