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Finding the Fourth Proportional to 405,079.04, 559,013.20 and 282,749.20

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Solution

The fourth proportional to 405,079.04, 559,013.20 and 282,749.20 is: 390,196.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,079.04 : 559,013.20 = 282,749.20 : x
  2. Step 2: Convert to fraction form
    405,079.04/559,013.20 = 282,749.20/x
  3. Step 3: Cross multiply
    405,079.04x = 559,013.20 × 282,749.20
  4. Step 4: Simplify right side
    405,079.04x = 158,060,532,985.03
  5. Step 5: Solve for x
    x = 158,060,532,985.03/405,079.04
  6. Step 6: Final answer
    x = 390,196.77

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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.