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Finding the Fourth Proportional to 614,075.85, 847,487.07 and 342,188.01

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Solution

The fourth proportional to 614,075.85, 847,487.07 and 342,188.01 is: 472,254.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,075.85 : 847,487.07 = 342,188.01 : x
  2. Step 2: Convert to fraction form
    614,075.85/847,487.07 = 342,188.01/x
  3. Step 3: Cross multiply
    614,075.85x = 847,487.07 × 342,188.01
  4. Step 4: Simplify right side
    614,075.85x = 289,999,913,984.03
  5. Step 5: Solve for x
    x = 289,999,913,984.03/614,075.85
  6. Step 6: Final answer
    x = 472,254.22

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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.