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Finding the Fourth Proportional to 290,475,412.80, 435,209,234.40 and 188,186,798.40

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Solution

The fourth proportional to 290,475,412.80, 435,209,234.40 and 188,186,798.40 is: 281,953,751.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,475,412.80 : 435,209,234.40 = 188,186,798.40 : x
  2. Step 2: Convert to fraction form
    290,475,412.80/435,209,234.40 = 188,186,798.40/x
  3. Step 3: Cross multiply
    290,475,412.80x = 435,209,234.40 × 188,186,798.40
  4. Step 4: Simplify right side
    290,475,412.80x = 81,900,632,455,851,136
  5. Step 5: Solve for x
    x = 81,900,632,455,851,136/290,475,412.80
  6. Step 6: Final answer
    x = 281,953,751.84

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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.