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Finding the Fourth Proportional to 460,145.32, 634,902.93 and 290,281

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Solution

The fourth proportional to 460,145.32, 634,902.93 and 290,281 is: 400,526.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,145.32 : 634,902.93 = 290,281 : x
  2. Step 2: Convert to fraction form
    460,145.32/634,902.93 = 290,281/x
  3. Step 3: Cross multiply
    460,145.32x = 634,902.93 × 290,281
  4. Step 4: Simplify right side
    460,145.32x = 184,300,257,423.33
  5. Step 5: Solve for x
    x = 184,300,257,423.33/460,145.32
  6. Step 6: Final answer
    x = 400,526.20

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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.