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Finding the Fourth Proportional to 497,328.30, 745,117.65 and 408,098.70

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Solution

The fourth proportional to 497,328.30, 745,117.65 and 408,098.70 is: 611,430.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,328.30 : 745,117.65 = 408,098.70 : x
  2. Step 2: Convert to fraction form
    497,328.30/745,117.65 = 408,098.70/x
  3. Step 3: Cross multiply
    497,328.30x = 745,117.65 × 408,098.70
  4. Step 4: Simplify right side
    497,328.30x = 304,081,544,312.06
  5. Step 5: Solve for x
    x = 304,081,544,312.06/497,328.30
  6. Step 6: Final answer
    x = 611,430.20

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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.