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Finding the Fourth Proportional to 659,929.80, 910,703.13 and 358,123.80

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Solution

The fourth proportional to 659,929.80, 910,703.13 and 358,123.80 is: 494,210.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,929.80 : 910,703.13 = 358,123.80 : x
  2. Step 2: Convert to fraction form
    659,929.80/910,703.13 = 358,123.80/x
  3. Step 3: Cross multiply
    659,929.80x = 910,703.13 × 358,123.80
  4. Step 4: Simplify right side
    659,929.80x = 326,144,465,587.49
  5. Step 5: Solve for x
    x = 326,144,465,587.49/659,929.80
  6. Step 6: Final answer
    x = 494,210.85

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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.