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Finding the Fourth Proportional to 457,210.34, 630,955.34 and 253,264.38

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Solution

The fourth proportional to 457,210.34, 630,955.34 and 253,264.38 is: 349,507.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,210.34 : 630,955.34 = 253,264.38 : x
  2. Step 2: Convert to fraction form
    457,210.34/630,955.34 = 253,264.38/x
  3. Step 3: Cross multiply
    457,210.34x = 630,955.34 × 253,264.38
  4. Step 4: Simplify right side
    457,210.34x = 159,798,511,726.47
  5. Step 5: Solve for x
    x = 159,798,511,726.47/457,210.34
  6. Step 6: Final answer
    x = 349,507.65

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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.