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Finding the Fourth Proportional to 421,428, 581,570.64 and 242,580

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Solution

The fourth proportional to 421,428, 581,570.64 and 242,580 is: 334,760.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,428 : 581,570.64 = 242,580 : x
  2. Step 2: Convert to fraction form
    421,428/581,570.64 = 242,580/x
  3. Step 3: Cross multiply
    421,428x = 581,570.64 × 242,580
  4. Step 4: Simplify right side
    421,428x = 141,077,405,851.20
  5. Step 5: Solve for x
    x = 141,077,405,851.20/421,428
  6. Step 6: Final answer
    x = 334,760.40

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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.