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Finding the Fourth Proportional to 564,000.70, 778,315.62 and 309,352.90

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Solution

The fourth proportional to 564,000.70, 778,315.62 and 309,352.90 is: 426,904.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,000.70 : 778,315.62 = 309,352.90 : x
  2. Step 2: Convert to fraction form
    564,000.70/778,315.62 = 309,352.90/x
  3. Step 3: Cross multiply
    564,000.70x = 778,315.62 × 309,352.90
  4. Step 4: Simplify right side
    564,000.70x = 240,774,194,162.30
  5. Step 5: Solve for x
    x = 240,774,194,162.30/564,000.70
  6. Step 6: Final answer
    x = 426,904.07

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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.