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Finding the Fourth Proportional to 657,172.74, 906,480.81 and 430,832.82

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Solution

The fourth proportional to 657,172.74, 906,480.81 and 430,832.82 is: 594,275.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,172.74 : 906,480.81 = 430,832.82 : x
  2. Step 2: Convert to fraction form
    657,172.74/906,480.81 = 430,832.82/x
  3. Step 3: Cross multiply
    657,172.74x = 906,480.81 × 430,832.82
  4. Step 4: Simplify right side
    657,172.74x = 390,541,683,648.18
  5. Step 5: Solve for x
    x = 390,541,683,648.18/657,172.74
  6. Step 6: Final answer
    x = 594,275.54

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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.