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Finding the Fourth Proportional to 432,859.80, 648,123.30 and 339,547.80

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Solution

The fourth proportional to 432,859.80, 648,123.30 and 339,547.80 is: 508,406.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,859.80 : 648,123.30 = 339,547.80 : x
  2. Step 2: Convert to fraction form
    432,859.80/648,123.30 = 339,547.80/x
  3. Step 3: Cross multiply
    432,859.80x = 648,123.30 × 339,547.80
  4. Step 4: Simplify right side
    432,859.80x = 220,068,840,643.74
  5. Step 5: Solve for x
    x = 220,068,840,643.74/432,859.80
  6. Step 6: Final answer
    x = 508,406.74

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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.