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Finding the Fourth Proportional to 458,547.12, 632,853.12 and 257,343.12

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Solution

The fourth proportional to 458,547.12, 632,853.12 and 257,343.12 is: 355,166.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,547.12 : 632,853.12 = 257,343.12 : x
  2. Step 2: Convert to fraction form
    458,547.12/632,853.12 = 257,343.12/x
  3. Step 3: Cross multiply
    458,547.12x = 632,853.12 × 257,343.12
  4. Step 4: Simplify right side
    458,547.12x = 162,860,396,402.53
  5. Step 5: Solve for x
    x = 162,860,396,402.53/458,547.12
  6. Step 6: Final answer
    x = 355,166.11

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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.