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Finding the Fourth Proportional to 514,428.16, 709,890.96 and 288,062.08

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Solution

The fourth proportional to 514,428.16, 709,890.96 and 288,062.08 is: 397,514.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,428.16 : 709,890.96 = 288,062.08 : x
  2. Step 2: Convert to fraction form
    514,428.16/709,890.96 = 288,062.08/x
  3. Step 3: Cross multiply
    514,428.16x = 709,890.96 × 288,062.08
  4. Step 4: Simplify right side
    514,428.16x = 204,492,666,510.80
  5. Step 5: Solve for x
    x = 204,492,666,510.80/514,428.16
  6. Step 6: Final answer
    x = 397,514.53

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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.