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Finding the Fourth Proportional to 514,787.04, 710,405.64 and 288,434.16

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Solution

The fourth proportional to 514,787.04, 710,405.64 and 288,434.16 is: 398,038.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,787.04 : 710,405.64 = 288,434.16 : x
  2. Step 2: Convert to fraction form
    514,787.04/710,405.64 = 288,434.16/x
  3. Step 3: Cross multiply
    514,787.04x = 710,405.64 × 288,434.16
  4. Step 4: Simplify right side
    514,787.04x = 204,905,254,032.66
  5. Step 5: Solve for x
    x = 204,905,254,032.66/514,787.04
  6. Step 6: Final answer
    x = 398,038.87

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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.