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Finding the Fourth Proportional to 372,417, 513,931.14 and 202,648.20

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Solution

The fourth proportional to 372,417, 513,931.14 and 202,648.20 is: 279,652.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,417 : 513,931.14 = 202,648.20 : x
  2. Step 2: Convert to fraction form
    372,417/513,931.14 = 202,648.20/x
  3. Step 3: Cross multiply
    372,417x = 513,931.14 × 202,648.20
  4. Step 4: Simplify right side
    372,417x = 104,147,220,444.95
  5. Step 5: Solve for x
    x = 104,147,220,444.95/372,417
  6. Step 6: Final answer
    x = 279,652.17

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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.