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Finding the Fourth Proportional to 461,409.09, 636,746.10 and 257,456.31

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Solution

The fourth proportional to 461,409.09, 636,746.10 and 257,456.31 is: 355,290.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,409.09 : 636,746.10 = 257,456.31 : x
  2. Step 2: Convert to fraction form
    461,409.09/636,746.10 = 257,456.31/x
  3. Step 3: Cross multiply
    461,409.09x = 636,746.10 × 257,456.31
  4. Step 4: Simplify right side
    461,409.09x = 163,934,301,312.89
  5. Step 5: Solve for x
    x = 163,934,301,312.89/461,409.09
  6. Step 6: Final answer
    x = 355,290.58

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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.