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Finding the Fourth Proportional to 286,492.32, 429,330.96 and 211,018.95

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Solution

The fourth proportional to 286,492.32, 429,330.96 and 211,018.95 is: 316,228.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,492.32 : 429,330.96 = 211,018.95 : x
  2. Step 2: Convert to fraction form
    286,492.32/429,330.96 = 211,018.95/x
  3. Step 3: Cross multiply
    286,492.32x = 429,330.96 × 211,018.95
  4. Step 4: Simplify right side
    286,492.32x = 90,596,968,381.69
  5. Step 5: Solve for x
    x = 90,596,968,381.69/286,492.32
  6. Step 6: Final answer
    x = 316,228.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.