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Finding the Fourth Proportional to 420,569.85, 630,698.94 and 150,655.95

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Solution

The fourth proportional to 420,569.85, 630,698.94 and 150,655.95 is: 225,928.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,569.85 : 630,698.94 = 150,655.95 : x
  2. Step 2: Convert to fraction form
    420,569.85/630,698.94 = 150,655.95/x
  3. Step 3: Cross multiply
    420,569.85x = 630,698.94 × 150,655.95
  4. Step 4: Simplify right side
    420,569.85x = 95,018,547,969.69
  5. Step 5: Solve for x
    x = 95,018,547,969.69/420,569.85
  6. Step 6: Final answer
    x = 225,928.10

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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.