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Finding the Fourth Proportional to 426,465, 588,521.70 and 256,731.93

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Solution

The fourth proportional to 426,465, 588,521.70 and 256,731.93 is: 354,290.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,465 : 588,521.70 = 256,731.93 : x
  2. Step 2: Convert to fraction form
    426,465/588,521.70 = 256,731.93/x
  3. Step 3: Cross multiply
    426,465x = 588,521.70 × 256,731.93
  4. Step 4: Simplify right side
    426,465x = 151,092,311,887.88
  5. Step 5: Solve for x
    x = 151,092,311,887.88/426,465
  6. Step 6: Final answer
    x = 354,290.06

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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.