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Finding the Fourth Proportional to 405,075.80, 607,613.70 and 138,838.93

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Solution

The fourth proportional to 405,075.80, 607,613.70 and 138,838.93 is: 208,258.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,075.80 : 607,613.70 = 138,838.93 : x
  2. Step 2: Convert to fraction form
    405,075.80/607,613.70 = 138,838.93/x
  3. Step 3: Cross multiply
    405,075.80x = 607,613.70 × 138,838.93
  4. Step 4: Simplify right side
    405,075.80x = 84,360,435,961.34
  5. Step 5: Solve for x
    x = 84,360,435,961.34/405,075.80
  6. Step 6: Final answer
    x = 208,258.40

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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.