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Finding the Fourth Proportional to 564,002.64, 778,319.40 and 309,352.02

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Solution

The fourth proportional to 564,002.64, 778,319.40 and 309,352.02 is: 426,903.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,002.64 : 778,319.40 = 309,352.02 : x
  2. Step 2: Convert to fraction form
    564,002.64/778,319.40 = 309,352.02/x
  3. Step 3: Cross multiply
    564,002.64x = 778,319.40 × 309,352.02
  4. Step 4: Simplify right side
    564,002.64x = 240,774,678,595.19
  5. Step 5: Solve for x
    x = 240,774,678,595.19/564,002.64
  6. Step 6: Final answer
    x = 426,903.46

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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.