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Finding the Fourth Proportional to 570,126.06, 786,648.96 and 340,648.86

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Solution

The fourth proportional to 570,126.06, 786,648.96 and 340,648.86 is: 470,020.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,126.06 : 786,648.96 = 340,648.86 : x
  2. Step 2: Convert to fraction form
    570,126.06/786,648.96 = 340,648.86/x
  3. Step 3: Cross multiply
    570,126.06x = 786,648.96 × 340,648.86
  4. Step 4: Simplify right side
    570,126.06x = 267,971,071,444.19
  5. Step 5: Solve for x
    x = 267,971,071,444.19/570,126.06
  6. Step 6: Final answer
    x = 470,020.74

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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.