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Finding the Fourth Proportional to 291,900.89, 402,823.05 and 157,764.89

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Solution

The fourth proportional to 291,900.89, 402,823.05 and 157,764.89 is: 217,715.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,900.89 : 402,823.05 = 157,764.89 : x
  2. Step 2: Convert to fraction form
    291,900.89/402,823.05 = 157,764.89/x
  3. Step 3: Cross multiply
    291,900.89x = 402,823.05 × 157,764.89
  4. Step 4: Simplify right side
    291,900.89x = 63,551,334,172.71
  5. Step 5: Solve for x
    x = 63,551,334,172.71/291,900.89
  6. Step 6: Final answer
    x = 217,715.45

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1.5x scale

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.