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Finding the Fourth Proportional to 615,547.80, 922,884.30 and 278,749.80

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Solution

The fourth proportional to 615,547.80, 922,884.30 and 278,749.80 is: 417,926.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,547.80 : 922,884.30 = 278,749.80 : x
  2. Step 2: Convert to fraction form
    615,547.80/922,884.30 = 278,749.80/x
  3. Step 3: Cross multiply
    615,547.80x = 922,884.30 × 278,749.80
  4. Step 4: Simplify right side
    615,547.80x = 257,253,814,048.14
  5. Step 5: Solve for x
    x = 257,253,814,048.14/615,547.80
  6. Step 6: Final answer
    x = 417,926.62

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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.