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Finding the Fourth Proportional to 403,045.34, 603,430.76 and 213,075.23

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Solution

The fourth proportional to 403,045.34, 603,430.76 and 213,075.23 is: 319,011.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,045.34 : 603,430.76 = 213,075.23 : x
  2. Step 2: Convert to fraction form
    403,045.34/603,430.76 = 213,075.23/x
  3. Step 3: Cross multiply
    403,045.34x = 603,430.76 × 213,075.23
  4. Step 4: Simplify right side
    403,045.34x = 128,576,145,491.61
  5. Step 5: Solve for x
    x = 128,576,145,491.61/403,045.34
  6. Step 6: Final answer
    x = 319,011.62

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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.