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Finding the Fourth Proportional to 656,547.90, 906,036.10 and 354,741.90

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Solution

The fourth proportional to 656,547.90, 906,036.10 and 354,741.90 is: 489,543.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,547.90 : 906,036.10 = 354,741.90 : x
  2. Step 2: Convert to fraction form
    656,547.90/906,036.10 = 354,741.90/x
  3. Step 3: Cross multiply
    656,547.90x = 906,036.10 × 354,741.90
  4. Step 4: Simplify right side
    656,547.90x = 321,408,963,298.10
  5. Step 5: Solve for x
    x = 321,408,963,298.10/656,547.90
  6. Step 6: Final answer
    x = 489,543.82

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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.