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Finding the Fourth Proportional to 553,291.40, 830,714.70 and 435,096.20

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Solution

The fourth proportional to 553,291.40, 830,714.70 and 435,096.20 is: 653,255.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,291.40 : 830,714.70 = 435,096.20 : x
  2. Step 2: Convert to fraction form
    553,291.40/830,714.70 = 435,096.20/x
  3. Step 3: Cross multiply
    553,291.40x = 830,714.70 × 435,096.20
  4. Step 4: Simplify right side
    553,291.40x = 361,440,809,254.14
  5. Step 5: Solve for x
    x = 361,440,809,254.14/553,291.40
  6. Step 6: Final answer
    x = 653,255.79

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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.