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Finding the Fourth Proportional to 510,378.64, 704,316.72 and 280,931.02

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Solution

The fourth proportional to 510,378.64, 704,316.72 and 280,931.02 is: 387,681.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,378.64 : 704,316.72 = 280,931.02 : x
  2. Step 2: Convert to fraction form
    510,378.64/704,316.72 = 280,931.02/x
  3. Step 3: Cross multiply
    510,378.64x = 704,316.72 × 280,931.02
  4. Step 4: Simplify right side
    510,378.64x = 197,864,414,552.65
  5. Step 5: Solve for x
    x = 197,864,414,552.65/510,378.64
  6. Step 6: Final answer
    x = 387,681.61

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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.