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Finding the Fourth Proportional to 538,075.76, 742,479.54 and 308,621.16

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Solution

The fourth proportional to 538,075.76, 742,479.54 and 308,621.16 is: 425,859.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,075.76 : 742,479.54 = 308,621.16 : x
  2. Step 2: Convert to fraction form
    538,075.76/742,479.54 = 308,621.16/x
  3. Step 3: Cross multiply
    538,075.76x = 742,479.54 × 308,621.16
  4. Step 4: Simplify right side
    538,075.76x = 229,144,896,911.07
  5. Step 5: Solve for x
    x = 229,144,896,911.07/538,075.76
  6. Step 6: Final answer
    x = 425,859.91

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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.