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Finding the Fourth Proportional to 472,915.86, 653,334.93 and 309,959.16

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Solution

The fourth proportional to 472,915.86, 653,334.93 and 309,959.16 is: 428,209.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,915.86 : 653,334.93 = 309,959.16 : x
  2. Step 2: Convert to fraction form
    472,915.86/653,334.93 = 309,959.16/x
  3. Step 3: Cross multiply
    472,915.86x = 653,334.93 × 309,959.16
  4. Step 4: Simplify right side
    472,915.86x = 202,507,146,101.46
  5. Step 5: Solve for x
    x = 202,507,146,101.46/472,915.86
  6. Step 6: Final answer
    x = 428,209.67

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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.