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Finding the Fourth Proportional to 657,129.72, 906,838.38 and 355,323

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Solution

The fourth proportional to 657,129.72, 906,838.38 and 355,323 is: 490,345.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,129.72 : 906,838.38 = 355,323 : x
  2. Step 2: Convert to fraction form
    657,129.72/906,838.38 = 355,323/x
  3. Step 3: Cross multiply
    657,129.72x = 906,838.38 × 355,323
  4. Step 4: Simplify right side
    657,129.72x = 322,220,533,696.74
  5. Step 5: Solve for x
    x = 322,220,533,696.74/657,129.72
  6. Step 6: Final answer
    x = 490,345.40

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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.