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Finding the Fourth Proportional to 585,292.50, 807,703.65 and 317,020.50

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Solution

The fourth proportional to 585,292.50, 807,703.65 and 317,020.50 is: 437,488.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,292.50 : 807,703.65 = 317,020.50 : x
  2. Step 2: Convert to fraction form
    585,292.50/807,703.65 = 317,020.50/x
  3. Step 3: Cross multiply
    585,292.50x = 807,703.65 × 317,020.50
  4. Step 4: Simplify right side
    585,292.50x = 256,058,614,974.83
  5. Step 5: Solve for x
    x = 256,058,614,974.83/585,292.50
  6. Step 6: Final answer
    x = 437,488.29

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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.