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Finding the Fourth Proportional to 470,565, 649,379.70 and 258,597

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Solution

The fourth proportional to 470,565, 649,379.70 and 258,597 is: 356,863.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,565 : 649,379.70 = 258,597 : x
  2. Step 2: Convert to fraction form
    470,565/649,379.70 = 258,597/x
  3. Step 3: Cross multiply
    470,565x = 649,379.70 × 258,597
  4. Step 4: Simplify right side
    470,565x = 167,927,642,280.90
  5. Step 5: Solve for x
    x = 167,927,642,280.90/470,565
  6. Step 6: Final answer
    x = 356,863.86

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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.