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Finding the Fourth Proportional to 390,507.84, 538,741.80 and 254,492.24

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Solution

The fourth proportional to 390,507.84, 538,741.80 and 254,492.24 is: 351,095.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,507.84 : 538,741.80 = 254,492.24 : x
  2. Step 2: Convert to fraction form
    390,507.84/538,741.80 = 254,492.24/x
  3. Step 3: Cross multiply
    390,507.84x = 538,741.80 × 254,492.24
  4. Step 4: Simplify right side
    390,507.84x = 137,105,607,463.63
  5. Step 5: Solve for x
    x = 137,105,607,463.63/390,507.84
  6. Step 6: Final answer
    x = 351,095.66

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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.