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Finding the Fourth Proportional to 433,386.80, 649,978.14 and 243,927.80

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Solution

The fourth proportional to 433,386.80, 649,978.14 and 243,927.80 is: 365,834.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,386.80 : 649,978.14 = 243,927.80 : x
  2. Step 2: Convert to fraction form
    433,386.80/649,978.14 = 243,927.80/x
  3. Step 3: Cross multiply
    433,386.80x = 649,978.14 × 243,927.80
  4. Step 4: Simplify right side
    433,386.80x = 158,547,737,738.29
  5. Step 5: Solve for x
    x = 158,547,737,738.29/433,386.80
  6. Step 6: Final answer
    x = 365,834.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.