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Finding the Fourth Proportional to 498,058.68, 686,334.54 and 354,416.28

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Solution

The fourth proportional to 498,058.68, 686,334.54 and 354,416.28 is: 488,392.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,058.68 : 686,334.54 = 354,416.28 : x
  2. Step 2: Convert to fraction form
    498,058.68/686,334.54 = 354,416.28/x
  3. Step 3: Cross multiply
    498,058.68x = 686,334.54 × 354,416.28
  4. Step 4: Simplify right side
    498,058.68x = 243,248,134,502.31
  5. Step 5: Solve for x
    x = 243,248,134,502.31/498,058.68
  6. Step 6: Final answer
    x = 488,392.52

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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.