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Finding the Fourth Proportional to 291,716.60, 402,569.16 and 157,580.60

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Solution

The fourth proportional to 291,716.60, 402,569.16 and 157,580.60 is: 217,461.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,716.60 : 402,569.16 = 157,580.60 : x
  2. Step 2: Convert to fraction form
    291,716.60/402,569.16 = 157,580.60/x
  3. Step 3: Cross multiply
    291,716.60x = 402,569.16 × 157,580.60
  4. Step 4: Simplify right side
    291,716.60x = 63,437,089,774.30
  5. Step 5: Solve for x
    x = 63,437,089,774.30/291,716.60
  6. Step 6: Final answer
    x = 217,461.36

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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.