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Finding the Fourth Proportional to 570,598.06, 787,415.70 and 315,943.78

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Solution

The fourth proportional to 570,598.06, 787,415.70 and 315,943.78 is: 435,997.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,598.06 : 787,415.70 = 315,943.78 : x
  2. Step 2: Convert to fraction form
    570,598.06/787,415.70 = 315,943.78/x
  3. Step 3: Cross multiply
    570,598.06x = 787,415.70 × 315,943.78
  4. Step 4: Simplify right side
    570,598.06x = 248,779,092,689.35
  5. Step 5: Solve for x
    x = 248,779,092,689.35/570,598.06
  6. Step 6: Final answer
    x = 435,997.09

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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.