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Finding the Fourth Proportional to 509,148.24, 702,604.92 and 282,808.08

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Solution

The fourth proportional to 509,148.24, 702,604.92 and 282,808.08 is: 390,264.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,148.24 : 702,604.92 = 282,808.08 : x
  2. Step 2: Convert to fraction form
    509,148.24/702,604.92 = 282,808.08/x
  3. Step 3: Cross multiply
    509,148.24x = 702,604.92 × 282,808.08
  4. Step 4: Simplify right side
    509,148.24x = 198,702,348,423.75
  5. Step 5: Solve for x
    x = 198,702,348,423.75/509,148.24
  6. Step 6: Final answer
    x = 390,264.24

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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.