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Finding the Fourth Proportional to 456,570, 630,068.76 and 255,366

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Solution

The fourth proportional to 456,570, 630,068.76 and 255,366 is: 352,406.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,570 : 630,068.76 = 255,366 : x
  2. Step 2: Convert to fraction form
    456,570/630,068.76 = 255,366/x
  3. Step 3: Cross multiply
    456,570x = 630,068.76 × 255,366
  4. Step 4: Simplify right side
    456,570x = 160,898,138,966.16
  5. Step 5: Solve for x
    x = 160,898,138,966.16/456,570
  6. Step 6: Final answer
    x = 352,406.29

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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.