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Finding the Fourth Proportional to 709,038,980.46, 978,637,051.71 and 415,778,026.86

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Solution

The fourth proportional to 709,038,980.46, 978,637,051.71 and 415,778,026.86 is: 573,869,411.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,038,980.46 : 978,637,051.71 = 415,778,026.86 : x
  2. Step 2: Convert to fraction form
    709,038,980.46/978,637,051.71 = 415,778,026.86/x
  3. Step 3: Cross multiply
    709,038,980.46x = 978,637,051.71 × 415,778,026.86
  4. Step 4: Simplify right side
    709,038,980.46x = 406,895,782,372,071,616
  5. Step 5: Solve for x
    x = 406,895,782,372,071,616/709,038,980.46
  6. Step 6: Final answer
    x = 573,869,411.39

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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.