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Finding the Fourth Proportional to 570,291.16, 786,919.40 and 315,641.74

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Solution

The fourth proportional to 570,291.16, 786,919.40 and 315,641.74 is: 435,539.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,291.16 : 786,919.40 = 315,641.74 : x
  2. Step 2: Convert to fraction form
    570,291.16/786,919.40 = 315,641.74/x
  3. Step 3: Cross multiply
    570,291.16x = 786,919.40 × 315,641.74
  4. Step 4: Simplify right side
    570,291.16x = 248,384,608,655.76
  5. Step 5: Solve for x
    x = 248,384,608,655.76/570,291.16
  6. Step 6: Final answer
    x = 435,539.99

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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.