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Finding the Fourth Proportional to 509,127, 702,609.84 and 282,787.08

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Solution

The fourth proportional to 509,127, 702,609.84 and 282,787.08 is: 390,254.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,127 : 702,609.84 = 282,787.08 : x
  2. Step 2: Convert to fraction form
    509,127/702,609.84 = 282,787.08/x
  3. Step 3: Cross multiply
    509,127x = 702,609.84 × 282,787.08
  4. Step 4: Simplify right side
    509,127x = 198,688,985,032.87
  5. Step 5: Solve for x
    x = 198,688,985,032.87/509,127
  6. Step 6: Final answer
    x = 390,254.27

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1.5x scale

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.