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Finding the Fourth Proportional to 507,903.95, 700,978.86 and 314,373.74

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Solution

The fourth proportional to 507,903.95, 700,978.86 and 314,373.74 is: 433,879.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,903.95 : 700,978.86 = 314,373.74 : x
  2. Step 2: Convert to fraction form
    507,903.95/700,978.86 = 314,373.74/x
  3. Step 3: Cross multiply
    507,903.95x = 700,978.86 × 314,373.74
  4. Step 4: Simplify right side
    507,903.95x = 220,369,346,317.25
  5. Step 5: Solve for x
    x = 220,369,346,317.25/507,903.95
  6. Step 6: Final answer
    x = 433,879.96

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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.