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Finding the Fourth Proportional to 514,071.63, 709,421.27 and 287,760.87

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Solution

The fourth proportional to 514,071.63, 709,421.27 and 287,760.87 is: 397,111.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,071.63 : 709,421.27 = 287,760.87 : x
  2. Step 2: Convert to fraction form
    514,071.63/709,421.27 = 287,760.87/x
  3. Step 3: Cross multiply
    514,071.63x = 709,421.27 × 287,760.87
  4. Step 4: Simplify right side
    514,071.63x = 204,143,681,851.71
  5. Step 5: Solve for x
    x = 204,143,681,851.71/514,071.63
  6. Step 6: Final answer
    x = 397,111.36

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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.