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Finding the Fourth Proportional to 457,364.90, 631,155.15 and 253,415.07

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Solution

The fourth proportional to 457,364.90, 631,155.15 and 253,415.07 is: 349,708.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,364.90 : 631,155.15 = 253,415.07 : x
  2. Step 2: Convert to fraction form
    457,364.90/631,155.15 = 253,415.07/x
  3. Step 3: Cross multiply
    457,364.90x = 631,155.15 × 253,415.07
  4. Step 4: Simplify right side
    457,364.90x = 159,944,226,518.11
  5. Step 5: Solve for x
    x = 159,944,226,518.11/457,364.90
  6. Step 6: Final answer
    x = 349,708.14

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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.