Finding the Fourth Proportional to 307,719,214,221.96, 424,652,555,878.41 and 170,550,896,095.18
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Solution
The fourth proportional to 307,719,214,221.96, 424,652,555,878.41 and 170,550,896,095.18 is: 235,360,258,920.75
Step by Step Solution
- Step 1: Write the proportion equation
307,719,214,221.96 : 424,652,555,878.41 = 170,550,896,095.18 : x - Step 2: Convert to fraction form
307,719,214,221.96/424,652,555,878.41 = 170,550,896,095.18/x - Step 3: Cross multiply
307,719,214,221.96x = 424,652,555,878.41 × 170,550,896,095.18 - Step 4: Simplify right side
307,719,214,221.96x = 72,424,873,934,171,316,158,464 - Step 5: Solve for x
x = 72,424,873,934,171,316,158,464/307,719,214,221.96 - Step 6: Final answer
x = 235,360,258,920.75
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1.5x scale
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.