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Finding the Fourth Proportional to 291,458.02, 437,008.94 and 139,701.53

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Solution

The fourth proportional to 291,458.02, 437,008.94 and 139,701.53 is: 209,466.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,458.02 : 437,008.94 = 139,701.53 : x
  2. Step 2: Convert to fraction form
    291,458.02/437,008.94 = 139,701.53/x
  3. Step 3: Cross multiply
    291,458.02x = 437,008.94 × 139,701.53
  4. Step 4: Simplify right side
    291,458.02x = 61,050,817,935.69
  5. Step 5: Solve for x
    x = 61,050,817,935.69/291,458.02
  6. Step 6: Final answer
    x = 209,466.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.