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Finding the Fourth Proportional to 421,848,000.40, 590,990,308.40 and 421,848,000.40

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Solution

The fourth proportional to 421,848,000.40, 590,990,308.40 and 421,848,000.40 is: 590,990,308.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,848,000.40 : 590,990,308.40 = 421,848,000.40 : x
  2. Step 2: Convert to fraction form
    421,848,000.40/590,990,308.40 = 421,848,000.40/x
  3. Step 3: Cross multiply
    421,848,000.40x = 590,990,308.40 × 421,848,000.40
  4. Step 4: Simplify right side
    421,848,000.40x = 249,308,079,854,319,296
  5. Step 5: Solve for x
    x = 249,308,079,854,319,296/421,848,000.40
  6. Step 6: Final answer
    x = 590,990,308.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.